Straight Line Question 374

Question: Equations of diagonals of square formed by lines $ x=0, $ $ y=0, $ $ x=1 $ and $ y=1 $ are[MP PET 1984]

Options:

A) $ y=x,\ y+x=1 $

B) $ y=x,\ x+y=2 $

C) $ 2y=x,\ y+x=\frac{1}{3} $

D) $ y=2x,\ y+2x=1 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Co-ordinates of the vertices of the square are $ A(0,0), $ $ B(0,1), $ $ C(1,1) $ and $ D(0,1) $ . Now the equation of AC is $ y=x $ and of $ BD $ is $ y-1=-\frac{1}{1}(x-0) $

$ \Rightarrow x+y=1 $ .